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Temme, Nico M.

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Author ID: temme.nico-m Recent zbMATH articles by "Temme, Nico M."
Published as: Temme, N. M.; Temme, Nico; Temme, Nico M.
External Links: MGP · Wikidata
Documents Indexed: 169 Publications since 1970, including 23 Books
Reviewing Activity: 240 Reviews
Biographic References: 1 Publication
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Serials

17 Journal of Computational and Applied Mathematics
8 ACM Transactions on Mathematical Software
7 Journal of Mathematical Analysis and Applications
7 SIAM Journal on Mathematical Analysis
6 Mathematics of Computation
6 Studies in Applied Mathematics
5 Journal of Computational Physics
5 Numerische Mathematik
5 Numerical Algorithms
4 Computer Physics Communications
4 Applied Mathematics and Computation
4 CWI Quarterly
3 SIAM Journal on Scientific Computing
3 ETNA. Electronic Transactions on Numerical Analysis
3 Methods and Applications of Analysis
2 Astrophysics and Space Science
2 Journal of Mathematical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Approximation Theory
2 Analysis and Applications (Singapore)
1 Computers & Mathematics with Applications
1 Geophysical and Astrophysical Fluid Dynamics
1 IMA Journal of Applied Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of the Institute of Mathematics and its Applications
1 Bulletin of Mathematical Biology
1 Journal of Differential Equations
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Analysis
1 Statistics & Probability Letters
1 Constructive Approximation
1 Applied Mathematics Letters
1 European Journal of Operational Research
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Applied and Computational Harmonic Analysis
1 Annals of Numerical Mathematics
1 Advances in Computational Mathematics
1 Electronic Communications in Probability
1 Analysis (München)
1 La Gaceta de la Real Sociedad Matemática Española
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Acta Numerica
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Epsilon Uitgaven
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH

134 Publications have been cited 1,148 times in 718 Documents Cited by Year
Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001
Temme, Nico M.
213
1996
Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002
Temme, N. M.
105
1996
Numerical methods for special functions. Zbl 1144.65016
Gil, Amparo; Segura, Javier; Temme, Nico M.
91
2007
The asymptotic expansion of the incomplete gamma functions. Zbl 0412.33001
Temme, N. M.
31
1979
Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003
Temme, Nico M.
24
2003
Two-point Taylor expansions of analytic functions. Zbl 1141.30300
López, José L.; Temme, Nico M.
24
2002
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
23
2001
Asymptotic estimates of Stirling numbers. Zbl 0784.11007
Temme, N. M.
22
1993
The uniform asymptotic expansion of a class of integrals related to cumulative distribution functions. Zbl 0489.41031
Temme, N. M.
20
1982
Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function. Zbl 0313.33002
Temme, N. M.
20
1975
Asymptotic methods for integrals. Zbl 1312.41002
Temme, Nico M.
16
2015
Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003
Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M.
16
1996
Uniform Airy-type expansions of integrals. Zbl 0799.41028
Olde Daalhuis, A. B.; Temme, N. M.
15
1994
Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004
López, José L.; Temme, Nico M.
13
1999
Uniform asymptotic expansion for a class of polynomials biorthogonal on the unit circle. Zbl 0601.41031
Temme, N. M.
13
1986
Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007
Temme, N. M.
12
1990
Calculation of special functions: The gamma function, the exponential integrals and error-like functions. Zbl 0547.65007
van der Laan, C. G.; Temme, N. M.
12
1984
The numerical computation of the confluent hypergeometric function U(a,b,z). Zbl 0489.33001
Temme, N. M.
12
1983
Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
11
2012
Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023
Temme, Nico M.
11
2000
Multi-point Taylor expansions of analytic functions. Zbl 1047.30002
López, José L.; Temme, Nico M.
10
2004
On the numerical evaluation of the modified Bessel function of the third kind. Zbl 0334.65013
Temme, N. M.
10
1975
New series expansions of the Gauss hypergeometric function. Zbl 1276.33006
López, José L.; Temme, Nico M.
9
2013
Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051
López, José L.; Pérez Sinusía, Ester; Temme, Nico M.
9
2009
Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004
López, José L.; Temme, Nico M.
9
1999
Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012
Temme, N. M.
9
1997
Nonlinear diffusion problems. Zbl 0357.35002
Diekmann, O. (ed.); Temme, N. M. (ed.)
9
1976
Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2007
Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2002
The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010
Temme, N. M.; López, J. L.
8
2001
On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2001
On the expansion of confluent hypergeometric functions in terms of Bessel functions. Zbl 0455.33002
Temme, N. M.
8
1981
An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives. Zbl 0415.65012
Temme, N. M.
8
1979
Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117
Temme, N. M.
7
2007
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2004
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
7
2003
Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003
Temme, N. M.
7
1994
Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013
Temme, N. M.
7
1993
Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001
Temme, N. M.
7
1992
Incomplete Laplace integrals: Uniform asymptotic expansion with application to the incomplete beta function. Zbl 0641.33002
Temme, N. M.
7
1987
Uniform asymptotic expansions of Laplace integrals. Zbl 0541.41036
Temme, Nico M.
7
1983
Uniform asymptotic expansions of confluent hypergeometric functions. Zbl 0398.33004
Temme, N. M.
7
1978
Analytical methods for a singular perturbation problem in a sector. Zbl 0295.35005
Temme, N. M.
7
1975
GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2015
Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2014
The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052
Groeneboom, Piet; Temme, Nico M.
6
2011
Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051
López, José Luis; Temme, Nico M.
6
2010
Numerical aspects of special functions. Zbl 1135.65011
Temme, Nico M.
6
2007
The ABC of hyper recursions. Zbl 1092.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2006
Computing special functions by using quadrature rules. Zbl 1031.65033
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2003
Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504
Chelluri, R.; Richmond, L. B.; Temme, N. M.
6
2000
Asymptotic inversion of the incomplete beta function. Zbl 0755.33002
Temme, N. M.
6
1992
Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033
Temme, N. M.
6
1990
Laplace type integrals: Transformation to standard form and uniform asymptotic expansions. Zbl 0581.33001
Temme, N. M.
6
1985
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
5
2015
Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019
Temme, Nico M.; Varlamov, Vladimir
5
2009
Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013
Segura, Javier; Temme, Nico M.
5
2008
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010
López, José L.; Temme, Nico M.
5
2004
Computing complex Airy functions by numerical quadrature. Zbl 1012.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2002
On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012
Driver, Kathy A.; Temme, Nico M.
5
1998
Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024
Temme, N. M.
5
1995
A double integral containing the modified Bessel function: Asymptotics and computation. Zbl 0602.33002
Temme, N. M.
5
1986
Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2018
The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2014
Uniform asymptotic methods for integrals. Zbl 1296.41028
Temme, Nico M.
4
2013
Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2009
Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
4
2008
First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
4
2006
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2004
Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2003
Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024
Vidunas, Raimundas; Temme, Nico M.
4
2002
Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2000
Uniform asymptotic approximation of Fermi-Dirac integrals. Zbl 0707.65008
Temme, N. M.; Olde Daalhuis, A. B.
4
1990
On the exact shape of the horizontal profile of a topographically rectified tidal flow. Zbl 0652.76010
Maas, L. R. M.; Zimmerman, J. T. F.; Temme, N. M.
4
1987
Numerical evaluation of functions arising from transformations of formal series. Zbl 0335.65007
Temme, N. M.
4
1975
Efficient computation of Laguerre polynomials. Zbl 1378.65066
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2017
Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039
Gil, A.; Segura, J.; Temme, N. M.
3
2017
The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013
Gil, Amparo; Segura, Javier; Temme, Nico
3
2010
Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018
Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M.
3
2005
Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003
López, José L.; Temme, Nico M.
3
1999
Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013
Driver, Kathy A.; Temme, Nico M.
3
1999
Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039
Temme, Nico M.
3
1998
Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009
Driver, Kathy A.; Temme, Nico M.
3
1998
Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008
Temme, N. M.
3
1994
Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006
Temme, N. M.
3
1994
Asymptotic expansion of a special integral. Zbl 0671.41023
Temme, N. M.
3
1989
Analytical methods for a singular perturbation problem. The quarter plane. Zbl 0223.35012
Temme, N. M.
3
1971
Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430
Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
2
2017
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015
Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
2
2017
Basic methods for computing special functions. Zbl 1216.65034
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2011
Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011
López, José Luis; Temme, Nico M.
2
2011
Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025
López, José Luis; Temme, Nico M.
2
2010
Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
2
2010
On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012
Deaño, Alfredo; Temme, Nico M.
2
2009
Asymptotic inversion of the Erlang B formula. Zbl 1186.60101
van Leeuwaarden, J. S. H.; Temme, N. M.
2
2009
Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
2
2007
Optimizing an objective function under a bivariate probability model. Zbl 1114.90046
Brusset, Xavier; Temme, Nico M.
2
2007
Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2006
Evanescence in coined quantum walks. Zbl 1081.82006
Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M.
2
2005
Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003
Temme, Nico M.; Vidunas, Raimundas
2
2003
Noniterative computation of Gauss-Jacobi quadrature. Zbl 1408.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2019
Asymptotic approximations to the nodes and weights of Gauss-Hermite and Gauss-Laguerre quadratures. Zbl 1391.65134
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2018
Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros. Zbl 1393.33011
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2018
Efficient computation of Laguerre polynomials. Zbl 1378.65066
Gil, Amparo; Segura, Javier; Temme, Nico M.
3
2017
Efficient algorithms for the inversion of the cumulative central beta distribution. Zbl 1355.65039
Gil, A.; Segura, J.; Temme, N. M.
3
2017
Entropic uncertainty measures for large dimensional hydrogenic systems. Zbl 1373.81430
Puertas-Centeno, D.; Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
2
2017
Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters. Zbl 1374.33015
Temme, N. M.; Toranzo, I. V.; Dehesa, J. S.
2
2017
Algorithm 969: Computation of the incomplete gamma function for negative values of the argument. Zbl 1391.65043
Gil, Amparo; Ruiz-Antolín, Diego; Segura, Javier; Temme, Nico M.
1
2017
Asymptotic methods for integrals. Zbl 1312.41002
Temme, Nico M.
16
2015
GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Zbl 1345.62012
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2015
Chernoff’s distribution and differential equations of parabolic and Airy type. Zbl 1382.60106
Groeneboom, Piet; Lalley, Steven; Temme, Nico
5
2015
Computing the Kummer function \(U\)(a, b, z) for small values of the arguments. Zbl 1410.33008
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2015
Algorithm 939: Computation of the Marcum \(Q\)-function. Zbl 1322.65046
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2014
The asymptotic and numerical inversion of the Marcum \(Q\)-function. Zbl 1302.33020
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2014
New series expansions of the Gauss hypergeometric function. Zbl 1276.33006
López, José L.; Temme, Nico M.
9
2013
Uniform asymptotic methods for integrals. Zbl 1296.41028
Temme, Nico M.
4
2013
On the computation of moments of the partial non-central chi-square distribution function. Zbl 1340.60145
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2013
Efficient and accurate algorithms for the computation and inversion of the incomplete gamma function ratios. Zbl 1259.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
11
2012
An improved algorithm and a Fortran 90 module for computing the conical function \(P^m_{-1/2+i\tau}(x)\). Zbl 1264.65027
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2012
The tail of the maximum of Brownian motion minus a parabola. Zbl 1244.60052
Groeneboom, Piet; Temme, Nico M.
6
2011
Basic methods for computing special functions. Zbl 1216.65034
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2011
Large degree asymptotics of generalized Bessel polynomials. Zbl 1213.33011
López, José Luis; Temme, Nico M.
2
2011
A sampling theory for asymmetric communities. Zbl 1405.92299
Noble, Andrew E.; Temme, Nico M.; Fagan, William F.; Keitt, Timothy H.
1
2011
Algorithm 914: Parabolic cylinder function \(W(a,x)\) and its derivative. Zbl 1365.65047
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2011
A uniform asymptotic expansion for weighted sums of exponentials. Zbl 1245.62010
van Leeuwaarden, J. S. H.; Temme, N. M.
1
2011
Fast and accurate computation of the Weber parabolic cylinder function \(W(a, x)\). Zbl 1222.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2011
Large degree asymptotics of generalized Bernoulli and Euler polynomials. Zbl 1213.11051
López, José Luis; Temme, Nico M.
6
2010
The asymptotic inversion of certain cumulative distribution functions. Zbl 1220.65013
Gil, Amparo; Segura, Javier; Temme, Nico
3
2010
Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Zbl 1195.65025
López, José Luis; Temme, Nico M.
2
2010
Computational properties of three-term recurrence relations for Kummer functions. Zbl 1179.65027
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
2
2010
Analytical and numerical aspects of a generalization of the complementary error function. Zbl 1195.65024
Deaño, Alfredo; Temme, Nico M.
1
2010
Multi-point Taylor approximations in one-dimensional linear boundary value problems. Zbl 1158.65051
López, José L.; Pérez Sinusía, Ester; Temme, Nico M.
9
2009
Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. Zbl 1182.26019
Temme, Nico M.; Varlamov, Vladimir
5
2009
Computing the conical function \(P^{\mu}_{-1/2+i\tau}(x)\). Zbl 1189.33006
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2009
On modified asymptotic series involving confluent hypergeometric functions. Zbl 1188.33012
Deaño, Alfredo; Temme, Nico M.
2
2009
Asymptotic inversion of the Erlang B formula. Zbl 1186.60101
van Leeuwaarden, J. S. H.; Temme, N. M.
2
2009
Numerically satisfactory solutions of Kummer recurrence relations. Zbl 1154.65013
Segura, Javier; Temme, Nico M.
5
2008
Identifying minimal and dominant solutions for Kummer recursions. Zbl 1209.33004
Deaño, Alfredo; Segura, Javier; Temme, Nico M.
4
2008
Numerical methods for special functions. Zbl 1144.65016
Gil, Amparo; Segura, Javier; Temme, Nico M.
91
2007
Numerically satisfactory solutions of hypergeometric recursions. Zbl 1117.33005
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2007
Analytical methods for an elliptic singular perturbation problem in a circle. Zbl 1331.35117
Temme, N. M.
7
2007
Numerical aspects of special functions. Zbl 1135.65011
Temme, Nico M.
6
2007
Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data. Zbl 1107.35017
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
2
2007
Optimizing an objective function under a bivariate probability model. Zbl 1114.90046
Brusset, Xavier; Temme, Nico M.
2
2007
The ABC of hyper recursions. Zbl 1092.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2006
First order approximation of an elliptic 3D singular perturbation problem. Zbl 1145.35362
López, José L.; Sinusía, Ester Pérez; Temme, Nico M.
4
2006
Computing the real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65038
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2006
Algorithm 850: Real parabolic cylinder functions \(U(a, x)\), \(V(a, x)\). Zbl 1182.65039
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2006
Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials. Zbl 1122.41018
Ferreira, Chelo; López, José L.; Mainar, Esmeralda; Temme, Nico M.
3
2005
Evanescence in coined quantum walks. Zbl 1081.82006
Carteret, Hilary A.; Richmond, Bruce; Temme, Nico M.
2
2005
Numerical aspects of special functions. Zbl 1087.65527
Temme, Nico M.
1
2005
Multi-point Taylor expansions of analytic functions. Zbl 1047.30002
López, José L.; Temme, Nico M.
10
2004
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. Zbl 1072.65025
Gil, Amparo; Segura, Javier; Temme, Nico M.
7
2004
Convergent asymptotic expansions of Charlier, Laguerre and Jacobi polynomials. Zbl 1059.33010
López, José L.; Temme, Nico M.
5
2004
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. Zbl 1072.65024
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2004
Integral representations for computing real parabolic cylinder functions. Zbl 1054.65023
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2004
Large parameter cases of the Gauss hypergeometric function. Zbl 1019.33003
Temme, Nico M.
24
2003
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
7
2003
Computing special functions by using quadrature rules. Zbl 1031.65033
Gil, Amparo; Segura, Javier; Temme, Nico M.
6
2003
Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion. Zbl 1026.65015
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2003
Parabolic cylinder functions: Examples of error bounds for asymptotic expansions. Zbl 1049.33003
Temme, Nico M.; Vidunas, Raimundas
2
2003
On the zeros of the Scorer functions. Zbl 1010.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
1
2003
Two-point Taylor expansions of analytic functions. Zbl 1141.30300
López, José L.; Temme, Nico M.
24
2002
Evaluation of the modified Bessel function of the third kind of imaginary orders. Zbl 0996.65026
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2002
Computing complex Airy functions by numerical quadrature. Zbl 1012.33001
Gil, Amparo; Segura, Javier; Temme, Nico M.
5
2002
Symbolic evaluation of coefficients in Airy-type asymptotic expansions. Zbl 1001.65024
Vidunas, Raimundas; Temme, Nico M.
4
2002
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex Airy functions. Zbl 1070.65512
Gil, Amparo; Segura, Javier; Temme, Nico M.
2
2002
Critical conditions for phytoplankton blooms. Zbl 1323.92161
Ebert, Ute; Arrayás, Manuel; Temme, Nico; Sommeijer, Ben; Huisman, Jef
23
2001
The Askey scheme for hypergeometric orthogonal polynomials viewed from asymptotic analysis. Zbl 0990.33010
Temme, N. M.; López, J. L.
8
2001
On nonoscillating integrals for computing inhomogeneous Airy functions. Zbl 0972.33004
Gil, Amparo; Segura, Javier; Temme, Nico M.
8
2001
Numerical and asymptotic aspects of parabolic cylinder functions. Zbl 0966.65023
Temme, Nico M.
11
2000
Asymptotic estimates for generalized Stirling numbers. Zbl 1093.11504
Chelluri, R.; Richmond, L. B.; Temme, N. M.
6
2000
Computing toroidal functions for wide ranges of the parameters. Zbl 0994.65018
Gil, Amparo; Segura, Javier; Temme, Nico M.
4
2000
Approximations of orthogonal polynomials in terms of Hermite polynomials. Zbl 0958.33004
López, José L.; Temme, Nico M.
13
1999
Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials. Zbl 0979.33004
López, José L.; Temme, Nico M.
9
1999
Uniform approximations of Bernoulli and Euler polynomials in terms of hyperbolic functions. Zbl 1006.41003
López, José L.; Temme, Nico M.
3
1999
Zero and pole distribution of diagonal Padé approximants to the exponential function. Zbl 0952.41013
Driver, Kathy A.; Temme, Nico M.
3
1999
On polynomials related with Hermite-Padé approximations to the exponential function. Zbl 0913.41012
Driver, Kathy A.; Temme, Nico M.
5
1998
Analytical methods for a selection of elliptic singular perturbation problems. Zbl 0923.35039
Temme, Nico M.
3
1998
Asymptotics and zero distribution of Padé polynomials associated with the exponential function. Zbl 0904.41009
Driver, Kathy A.; Temme, Nico M.
3
1998
Recent problems from uniform asymptotic analysis of integrals in particular in connection with Tricomi’s \(\Psi\)-function. Zbl 0967.33003
Temme, Nico M.
2
1998
Numerical algorithms for uniform Airy-type asymptotic expansions. Zbl 0886.65012
Temme, N. M.
9
1997
Asymptotics and numerics of zeros of polynomials that are related to Daubechies wavelets. Zbl 0903.42016
Temme, Nico M.
1
1997
Special functions. An introduction to the classical functions of mathematical physics. Zbl 0856.33001
Temme, Nico M.
213
1996
Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters. Zbl 0863.33002
Temme, N. M.
105
1996
Asymptotics and closed form of a generalized incomplete gamma function. Zbl 0853.33003
Chaudhry, M. A.; Temme, N. M.; Veling, E. J. M.
16
1996
Uniform asymptotic expansions of integrals: A selection of problems. Zbl 0849.41024
Temme, N. M.
5
1995
Bernoulli polynomials old and new: generalizations and asymptotics. Zbl 1044.11547
Temme, N. M.
1
1995
Asymptotics of zeros of incomplete gamma functions. Zbl 0827.33001
Temme, N. M.
1
1995
Uniform Airy-type expansions of integrals. Zbl 0799.41028
Olde Daalhuis, A. B.; Temme, N. M.
15
1994
Steepest descent paths for integrals defining the modified Bessel functions of imaginary order. Zbl 0848.33003
Temme, N. M.
7
1994
Bernoulli polynomials old and new: Problems in complex analysis and asymptotics. Zbl 0879.11008
Temme, N. M.
3
1994
Computational aspects of incomplete gamma functions with large complex parameters. Zbl 0821.65006
Temme, N. M.
3
1994
Numerical aspects of uniform Airy-type asymptotic expansions. Zbl 0815.65031
Temme, N. M.
1
1994
Asymptotic estimates of Stirling numbers. Zbl 0784.11007
Temme, N. M.
22
1993
Asymptotic and numerical aspects of the noncentral chi-square distribution. Zbl 0768.62013
Temme, N. M.
7
1993
Asymptotic inversion of incomplete gamma functions. Zbl 0759.33001
Temme, N. M.
7
1992
Asymptotic inversion of the incomplete beta function. Zbl 0755.33002
Temme, N. M.
6
1992
Asymptotic estimates for Laguerre polynomials. Zbl 0688.33007
Temme, N. M.
12
1990
Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions. Zbl 0693.41033
Temme, N. M.
6
1990
...and 34 more Documents
all top 5

Cited by 902 Authors

63 Temme, Nico M.
43 López, José Luis
41 Segura, Javier
29 Gil, Amparo
21 Pérez Sinusía, Ester
18 Paris, Richard Bruce
15 Ferreira, Chelo
12 Dehesa, Jesús S.
11 Pagola, Pedro J.
11 Wong, Roderick Sue-Chuen
10 Deaño, Alfredo
10 Dixit, Atul
10 Olde Daalhuis, Adri B.
9 Jódar Sanchez, Lucas Antonio
8 Sesma, Javier
7 Driver, Kathy A.
7 Qadir, Asghar
7 Srivastava, Hari Mohan
7 Zhao, Yuqiu
6 Nemes, Gergő
6 Ponnusamy, Saminathan
6 Qi, Feng
5 Dunster, T. M.
5 Groeneboom, Piet
5 Huybrechs, Daan
5 Karatsuba, Ekaterina Anatol’evna
5 Olver, Sheehan Shakiban
5 Sánchez-Moreno, Pablo
5 Varlamov, Vladimir V.
5 Weniger, Ernst Joachim
4 Abad, Julio
4 Aslam Chaudhry, M.
4 Cortés López, Juan Carlos
4 Dominici, Diego Ernesto
4 Hasegawa, Takemitsu
4 Jung, Changyeol
4 Koumandos, Stamatis
4 Lether, Frank G.
4 Lou, Yuan
4 Moll, Victor Hugo
4 Ostrovskii, Dmitrii M.
4 Simsek, Yilmaz
4 Sugiura, Hiroshi
4 Swaminathan, Anbhu
4 Temam, Roger Meyer
4 Toranzo, Irene V.
4 Zaharescu, Alexandru
3 Bazm, Sohrab
3 Borrego-Morell, J.
3 Brezinski, Claude
3 Chiccoli, Cesare
3 Corcino, Cristina Bordaje
3 Corcino, Roberto Bagsarsa
3 Daalhuis, A. B. Olde
3 Diekmann, Odo
3 Gawronski, Wolfgang
3 Guo, Bai-Ni
3 Hwang, Hsien-Kuei
3 Karniadakis, George Em
3 Kuijlaars, Arno B. J.
3 Lam, King-Yeung
3 Lorenzutta, S.
3 Maas, Leo R. M.
3 Maino, Giuseppe
3 Martínez-Finkelshtein, Andrei
3 Mei, Linfeng
3 Moreno-Balcázar, Juan José
3 Naik, Sunanda
3 Ou, Chunhua
3 Pedersen, Henrik Laurberg
3 Potier-Ferry, Michel
3 Rajbangshi, Karabi
3 Ranga, A. Sri
3 Redivo-Zaglia, Michela
3 Roy, Arindam
3 Tassaddiq, Asifa
3 van Leeuwaarden, Johan S. H.
3 Vuorinen, Matti Keijo Kustaa
3 Wang, Haiyong
3 Wielonsky, Franck
3 Yáñez, Rafael J.
3 Zeng, Fanhai
3 Zhou, Jianrong
3 Zimmerman, Joseph T. F.
2 Acikgoz, Mehmet
2 Agarwal, Praveen
2 Akemann, Gernot
2 Almenar, Pedro
2 Ansari, Alireza
2 Baricz, Árpád
2 Berndt, Bruce Carl
2 Blagouchine, Iaroslav V.
2 Borodin, Alexei
2 Boyadzhiev, Khristo N.
2 Bujanda, Blanca
2 Butler, Ronald W.
2 Butzer, Paul Leo
2 Chang, Xiangke
2 Chen, Chaoping
2 Cho, Nak Eun
...and 802 more Authors
all top 5

Cited in 225 Serials

98 Journal of Computational and Applied Mathematics
46 Journal of Mathematical Analysis and Applications
29 Applied Mathematics and Computation
19 Mathematics of Computation
14 Journal of Computational Physics
14 Integral Transforms and Special Functions
12 Computers & Mathematics with Applications
12 Journal of Approximation Theory
12 Numerische Mathematik
12 Analysis and Applications (Singapore)
11 Computer Physics Communications
11 Applied Numerical Mathematics
10 Journal of Mathematical Physics
10 Advances in Computational Mathematics
9 Journal of Differential Equations
8 Journal of Mathematical Biology
8 Studies in Applied Mathematics
8 Advances in Applied Mathematics
8 Numerical Algorithms
7 Journal of Number Theory
7 Mathematical and Computer Modelling
6 Proceedings of the American Mathematical Society
6 Abstract and Applied Analysis
5 Communications in Mathematical Physics
5 Journal of Engineering Mathematics
5 BIT
5 Discrete and Continuous Dynamical Systems
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Journal of High Energy Physics
5 Journal of Classical Analysis
4 Journal of Fluid Mechanics
4 Journal of Statistical Physics
4 Rocky Mountain Journal of Mathematics
4 The Annals of Statistics
4 Journal of Statistical Planning and Inference
4 Applied Mathematics Letters
4 European Journal of Operational Research
4 Indagationes Mathematicae. New Series
4 SIAM Journal on Scientific Computing
4 ETNA. Electronic Transactions on Numerical Analysis
4 The Ramanujan Journal
3 The Canadian Journal of Statistics
3 Problems of Information Transmission
3 Advances in Mathematics
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematische Nachrichten
3 Results in Mathematics
3 SIAM Journal on Numerical Analysis
3 Transactions of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Constructive Approximation
3 Queueing Systems
3 Russian Journal of Mathematical Physics
3 Foundations of Computational Mathematics
3 Journal of Applied Mathematics
3 Advances in Difference Equations
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Journal of Physics A: Mathematical and Theoretical
3 Afrika Matematika
3 Journal of Theoretical Biology
2 Applicable Analysis
2 Geophysical and Astrophysical Fluid Dynamics
2 Inverse Problems
2 Physica A
2 Scandinavian Journal of Statistics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Bulletin of Mathematical Biology
2 ACM Transactions on Mathematical Software
2 Calcolo
2 Journal of Combinatorial Theory. Series A
2 Kybernetika
2 Meccanica
2 Theoretical Computer Science
2 Computer Aided Geometric Design
2 Probability Theory and Related Fields
2 Statistical Science
2 The Annals of Applied Probability
2 Computational Mathematics and Mathematical Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Applied and Computational Harmonic Analysis
2 Engineering Analysis with Boundary Elements
2 Electronic Journal of Probability
2 Bernoulli
2 Journal of Mathematical Chemistry
2 Nonlinear Dynamics
2 Journal of Inequalities and Applications
2 Mathematical Inequalities & Applications
2 Analysis (München)
2 Lobachevskii Journal of Mathematics
2 Annales Henri Poincaré
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Complex Analysis and Operator Theory
2 Mathematics
1 International Journal of Modern Physics A
1 Advances in Applied Probability
1 Astrophysics and Space Science
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Applied Mathematics
1 Discrete Mathematics
...and 125 more Serials
all top 5

Cited in 49 Fields

336 Special functions (33-XX)
190 Numerical analysis (65-XX)
148 Approximations and expansions (41-XX)
76 Number theory (11-XX)
74 Partial differential equations (35-XX)
68 Ordinary differential equations (34-XX)
65 Functions of a complex variable (30-XX)
52 Probability theory and stochastic processes (60-XX)
46 Statistics (62-XX)
42 Real functions (26-XX)
38 Harmonic analysis on Euclidean spaces (42-XX)
36 Biology and other natural sciences (92-XX)
28 Quantum theory (81-XX)
23 Integral transforms, operational calculus (44-XX)
21 Combinatorics (05-XX)
20 Fluid mechanics (76-XX)
17 Information and communication theory, circuits (94-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 Computer science (68-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Difference and functional equations (39-XX)
14 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Sequences, series, summability (40-XX)
10 Integral equations (45-XX)
9 Geophysics (86-XX)
9 Operations research, mathematical programming (90-XX)
8 Operator theory (47-XX)
8 Optics, electromagnetic theory (78-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Functional analysis (46-XX)
6 Mechanics of deformable solids (74-XX)
5 Relativity and gravitational theory (83-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Mechanics of particles and systems (70-XX)
2 Differential geometry (53-XX)
2 Systems theory; control (93-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)

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